Parallel and identical lines
Parallel and identical lines
Secondary 2
Gym A charges a joining fee of \(\$50\) and \(\$30\) per month. Gym B charges a joining fee of \(\$20\) and \(\$30\) per month. Let \(\$C\) be the total cost of using a gym for \(m\) months.
- Write down an equation connecting \(C\) and \(m\) for each gym.
- Explain, by considering the graphs of your two equations, why there is no number of months for which the total costs are equal.
- Gym B raises its monthly charge to \(\$35\). After how many months are the total costs of the two gyms equal?
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.
Create a free account to practise similar questions.
Answer:(a) \(C=50+30m\); \(C=20+30m\)
(b) parallel lines (same gradient \(30\), different intercepts)
(c) \(6\) months
Need help? Join our E-Maths tuition for O-Level success.
Learn more